A Problem Text in Advanced Calculus
by John M. Erdman
Publisher: Portland State University 2008
Number of pages: 377
This is a text on Advanced Calculus written for a more "theoretical" course, usually taken by majors in mathematics and physical sciences (and often called elementary analysis or intermediate analysis), it concentrates on conceptual development and proofs. It is intended for students of mathematics and others who have completed (or nearly completed) a standard introductory calculus sequence and who wish to understand where all those rules and formulas come from.
Download or read it online for free here:
by Wilfred Kaplan, Donald J. Lewis - University of Michigan Library
In the second volume of Calculus and Linear Algebra, the concept of linear algebra is further developed and applied to geometry, many-variable calculus, and differential equations. This volume introduces many novel ideas and proofs.
by David Guichard - Lyryx
The book covers the standard Calculus I and II courses, with Calculus III under development. It is accessible to first year college and university students. The emphasis in this course is on problems -- doing calculations and story problems.
by Gregory Hartman, et al. - APEXcalculus.com
A calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now. The explanations of new concepts is clear, written for someone who does not yet know calculus.
by Thomas I. Vogel
The intuition is useful in dealing with simple examples, but can be a hindrance to deeper understanding of the basic concepts of mathematical analysis. The point of this text is to challenge and refine the intuition of better calculus students.